3(r-8)-1=4(r+2)-27

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Solution for 3(r-8)-1=4(r+2)-27 equation: 


Simplifying
3(r + -8) + -1 = 4(r + 2) + -27

Reorder the terms:
3(-8 + r) + -1 = 4(r + 2) + -27
(-8 * 3 + r * 3) + -1 = 4(r + 2) + -27
(-24 + 3r) + -1 = 4(r + 2) + -27

Reorder the terms:
-24 + -1 + 3r = 4(r + 2) + -27

Combine like terms: -24 + -1 = -25
-25 + 3r = 4(r + 2) + -27

Reorder the terms:
-25 + 3r = 4(2 + r) + -27
-25 + 3r = (2 * 4 + r * 4) + -27
-25 + 3r = (8 + 4r) + -27

Reorder the terms:
-25 + 3r = 8 + -27 + 4r

Combine like terms: 8 + -27 = -19
-25 + 3r = -19 + 4r

Solving
-25 + 3r = -19 + 4r

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Add '-4r' to each side of the equation.
-25 + 3r + -4r = -19 + 4r + -4r

Combine like terms: 3r + -4r = -1r
-25 + -1r = -19 + 4r + -4r

Combine like terms: 4r + -4r = 0
-25 + -1r = -19 + 0
-25 + -1r = -19

Add '25' to each side of the equation.
-25 + 25 + -1r = -19 + 25

Combine like terms: -25 + 25 = 0
0 + -1r = -19 + 25
-1r = -19 + 25

Combine like terms: -19 + 25 = 6
-1r = 6

Divide each side by '-1'.
r = -6

Simplifying
r = -6

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